An Analytic Formula for the A_2 Jack Polynomials
Classical Analysis and ODEs
2008-04-24 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482, math.CA/0306242] on separation of variables for the Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34, solv-int/9508002] where the integral representations for the Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the Jack polynomials in terms of generalised hypergeometric functions.
Keywords
Cite
@article{arxiv.math/0701677,
title = {An Analytic Formula for the A_2 Jack Polynomials},
author = {Vladimir V. Mangazeev},
journal= {arXiv preprint arXiv:math/0701677},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/